2101101112000 has 336 divisors, whose sum is σ = 5732444337984. Its totient is φ = 762296832000.

The previous prime is 2101101111937. The next prime is 2101101112027. The reversal of 2101101112000 is 2111011012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471413772 + ... + 471418228.

It is an arithmetic number, because the mean of its divisors is an integer number (17060846244).

Almost surely, 2^{2101101112000} is an apocalyptic number.

2101101112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101101112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866222168992).

2101101112000 is an abundant number, since it is smaller than the sum of its proper divisors (3631343225984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101101112000 is a wasteful number, since it uses less digits than its factorization.

2101101112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2101101112000 its reverse (2111011012), we get a palindrome (2103212123012).

The spelling of 2101101112000 in words is "two trillion, one hundred one billion, one hundred one million, one hundred twelve thousand".